For the equation, y=x−6, what value for x and y can be substituted to make a true number sentence? Show your work.
Note: There can be several answers here.
To find values of x and y that make the equation y = x - 6 true, we can simply substitute values for x and see if the resulting value of y satisfies the equation.
Let's try substituting x = 0 into the equation:
y = 0 - 6
y = -6
So when x = 0, y = -6, and the equation y = x - 6 is true.
Another example, let's substitute x = 10 into the equation:
y = 10 - 6
y = 4
So when x = 10, y = 4, and the equation y = x - 6 is also true.
There can be multiple answers depending on the values of x chosen. Two possible examples are:
1) When x = 0, y = -6
2) When x = 10, y = 4
To find a value for x and y that make the equation true, we need to substitute values for x and solve for y.
Let's start by choosing a value for x. Let's say x = 10.
Now, substitute x = 10 into the equation y = x - 6:
y = 10 - 6
y = 4
Therefore, when x = 10, y = 4 is a valid solution for the equation y = x - 6.
Another example:
Let's choose another value for x. Let's say x = -2.
Now, substitute x = -2 into the equation y = x - 6:
y = -2 - 6
y = -8
So, when x = -2, y = -8 is another valid solution for the equation y = x - 6.
There can be infinitely many pairs of numbers that satisfy the given equation. These are just two examples.